Home / 1,216.14-1,824.84-522.63

Finding the Fourth Proportional to 1,216.14, 1,824.84 and 522.63

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Solution

The fourth proportional to 1,216.14, 1,824.84 and 522.63 is: 784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.14 : 1,824.84 = 522.63 : x
  2. Step 2: Convert to fraction form
    1,216.14/1,824.84 = 522.63/x
  3. Step 3: Cross multiply
    1,216.14x = 1,824.84 × 522.63
  4. Step 4: Simplify right side
    1,216.14x = 953,716.13
  5. Step 5: Solve for x
    x = 953,716.13/1,216.14
  6. Step 6: Final answer
    x = 784.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.